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Robust Parameter Design: A Semi-Parametric Approach

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dc.contributor.authorPickle, Stephanie M.en
dc.contributor.authorRobinson, Timothy J.en
dc.contributor.authorBirch, Jeffrey B.en
dc.contributor.authorAnderson-Cook, Christine M.en
dc.contributor.departmentStatisticsen
dc.date.accessioned2019-05-08T19:46:22Zen
dc.date.available2019-05-08T19:46:22Zen
dc.date.issued2005en
dc.description.abstractParameter design or robust parameter design (RPD) is an engineering methodology intended as a cost-effective approach for improving the quality of products and processes. The goal of parameter design is to choose the levels of the control variables that optimize a defined quality characteristic. An essential component of robust parameter design involves the assumption of well estimated models for the process mean and variance. Traditionally, the modeling of the mean and variance has been done parametrically. It is often the case, particularly when modeling the variance, that nonparametric techniques are more appropriate due to the nature of the curvature in the underlying function. Most response surface experiments involve sparse data. In sparse data situations with unusual curvature in the underlying function, nonparametric techniques often result in estimates with problematic variation whereas their parametric counterparts may result in estimates with problematic bias. We propose the use of semi-parametric modeling within the robust design setting, combining parametric and nonparametric functions to improve the quality of both mean and variance model estimation. The proposed method will be illustrated with an example and simulations.en
dc.format.extent32 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.sourceurlhttps://www.stat.vt.edu/content/dam/stat_vt_edu/graphics-and-pdfs/research-papers/Technical_Reports/TechReport05-7.pdfen
dc.identifier.urihttp://hdl.handle.net/10919/89428en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.ispartofseriesTechnical Report No. 05-7en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectResponse surfaceen
dc.subjectNonparametric regressionen
dc.subjectModel robust regressionen
dc.subjectGenetic algorithmen
dc.titleRobust Parameter Design: A Semi-Parametric Approachen
dc.typeTechnical reporten
dc.type.dcmitypeTexten

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